Question

A number is chosen at random from the numbers -5,-4,-3,-2,-1,0,1,2,3 ,4,5 then the probability that square of this number is less than or equal to 1 is

Answer 1

Answer: $\dfrac{3}{11}$

Step-by-step explanation:

Given numbers : -5,-4,-3,-2,-1,0,1,2,3 ,4,5

Total numbers (outcomes) = 11

Numbers that have square less than or equal to 1 = -1, 0 , 1

Number of favorable outcomes = 3

Then, the required probability :-

$\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{3}{11}$

Hence, our required probability = $\dfrac{3}{11}$

Answer 2

Answer:

$\red { Probability \:that \: square \:of \:the }$

$\red { number \:is \:less \:than \:or \:equal \:to \:1}$

$\green { = \frac{3}{11}}$

Step-by-step explanation:

$Total\: possible \: outcomes \: are ,\:-5,-4,\\-3,-2,-1,0,1,2,3,4,5$

$Number \:of \: total \: possible \: outcomes = 11\:---(1)/tex]</p><p>[tex] Number \:of \: favourable \: outcomes = 3\:--(2)$

$Probability = \frac{(2)}{(1)}\\= \frac{3}{11}$

Therefore.,

$\red { Probability \:that \: square \:of \:the }$

$\red { number \:is \:less \:than \:or \:equal \:to \:1}$

$\green { = \frac{3}{11}}$

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